You are given a 2^k times 2^k board with one missing cell. Give an O(2^2k)-time algorithm for filling the board with "L-shaped" tiles. Figure 1: On the left is an example grid with a missing cell, with k = 3. In the middle is the "L-shaped" tile, to be used for tiling. On the right is an example solution. You are given a 2^k times 2^k board with one missing cell. Give an O(2^2k)-time algorithm for filling the board with "L-shaped" tiles. Figure 1: On the left is an example grid with a missing cell, with k = 3. In the middle is the "L-shaped" tile, to be used for tiling. On the right is an example solution